Theorems · Definition · group theory

Representation.freeLift

{G : Type v} →
  [inst : Monoid G] →
    {V : Type v'} →
      [inst_1 : AddCommMonoid V] →
        {k : Type u} →
          [inst_2 : CommSemiring k] →
            [inst_3 : Module k V] →
              (σ : Representation k G V) → {α : Type w'} → (α → V) → (Representation.free k G α).IntertwiningMap σ

Every f : α → V can induce an intertwining map between (α →₀ k[G]) and V.

Defined in

Mathlib.RepresentationTheory.Equiv

Cited by

5 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidAddCommMonoidCommSemiringModule